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Deeply Virtual Compton Scattering at Next-to-Next-to-Leading Order.

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Deeply virtual Compton scattering calculations at next-to-next-to-leading order reveal significant corrections. These findings are crucial for interpreting upcoming high-precision data from the Electron-Ion Collider.

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Area of Science:

  • Particle physics
  • Quantum chromodynamics
  • High-energy physics

Background:

  • Deeply virtual Compton scattering (DVCS) probes generalized parton distributions (GPDs).
  • GPDs encode crucial information about the transverse and longitudinal momentum of quarks and gluons within protons.
  • Anticipation of high-precision experimental data from the Electron-Ion Collider (EIC) necessitates precise theoretical predictions.

Purpose of the Study:

  • To calculate the two-loop, next-to-next-to-leading order (NNLO) coefficient functions for DVCS.
  • To analyze these calculations for the dominant Compton form factors H and E at high energies.
  • To provide theoretical support for upcoming EIC experiments.

Main Methods:

  • Performed two-loop calculations for DVCS coefficient functions.
  • Focused on the NNLO corrections to the dominant Compton form factors H and E.
  • Analyzed results at large energies and a specific input scale (Q^2 = 4 GeV^2).

Main Results:

  • Calculated NNLO coefficient functions for DVCS, relevant for Compton form factors H and E.
  • Observed a significant NNLO correction to the imaginary part of H, potentially a factor of 2.
  • This large correction arises from cancellations between quark and gluon contributions in simple GPD models.

Conclusions:

  • The NNLO corrections to DVCS are substantial and must be considered for accurate interpretation of EIC data.
  • The calculated coefficient functions provide essential theoretical input for understanding proton structure.
  • Future studies will benefit from these precise calculations in the context of GPDs.